Step-1

Title: Product and Quotient Rule for Exponents

Grade: 6-b Lesson: S3-L2

Explanation: Hello Students, time to practice and review the steps for the problem.

Discussion: Step1 Step2 Step3 Step4 Step5

Lesson Steps

Step Type Explanation Answer

1

Problem

Expression: \$9^5 \times 9^8\$.

2

Step

Given expression

\$9^5 \times 9^8\$.

3

Step

Apply the product rule for exponents:\$(a^m \times a^n) = a^m+n\$

\$9^5 \times 9^8 \$ ⇒ \$9^(5+8)\$

4

Step

Add the exponents:

\$9^5 \times 9^8 = 9^13\$

5

Step

Therefore, the solved expression is \$9^13\$.

6

Choice.A

This option is incorrect because it incorrectly adds an extra 2 to the exponent sum, which should be 5 + 8

\$9^15\$

7

Choice.B

This option is incorrect because it incorrectly adds an extra 4 to the exponent sum, which should be 5 + 8

\$9^17\$

8

Choice.C

This answer is correct because the result of the expression is \$9^13\$

\$9^13\$

9

Choice.D

This option is incorrect because it incorrectly subtracts 2 from the exponent sum, which should be 5 + 8

\$9^11\$

10

Answer

Option

C

11

Sumup

Can you summarize what you’ve understood in the above steps?

Discussion: Step1 Step2 Step3 Step4 Step5


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